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Finding the Fourth Proportional to 284,052.56, 391,992.26 and 156,728.16

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Solution

The fourth proportional to 284,052.56, 391,992.26 and 156,728.16 is: 216,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,052.56 : 391,992.26 = 156,728.16 : x
  2. Step 2: Convert to fraction form
    284,052.56/391,992.26 = 156,728.16/x
  3. Step 3: Cross multiply
    284,052.56x = 391,992.26 × 156,728.16
  4. Step 4: Simplify right side
    284,052.56x = 61,436,224,860.40
  5. Step 5: Solve for x
    x = 61,436,224,860.40/284,052.56
  6. Step 6: Final answer
    x = 216,284.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.